How did you brought up the issue with your husband? Also, are you the type of couple who talk openly about family concerns?
You can start by asking your husband his reasons why he prefers to raise your child that way. Make sure that the way you ask him doesn't look like you are judging him that his way is wrong, but more of you want to really understand. Then you can present your side as well on your parenting style. Then you can meet halfway by acknowledging the things that would warrant your husband's strict style.
Magbasa pa